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1 . The number of different strings that can be made by reordering the 10 letters of the word AAABBCCCCC is

(a)

${10 \choose 3}{10 \choose 2}{10 \choose 5}$

(b)

$\frac{10!}{2!3!5!}$

(c)

$10!$

(d)

None of the above.